A car moving at a constant rate travels 96 miles in 2 hours. If the car maintains this rate, how many miles will the car travel in 5 hours?

Options

A. `480`
B. `240`
C. `210`
D. `192`

Answer

To solve the problem step by step, we can follow these calculations:

**Step 1: Determine the rate of the car.**
The car travels 96 miles in 2 hours. To find the rate (distance per hour), we divide the total distance by the total time.
\[ \text{Rate} = \frac{\text{Distance}}{\text{Time}} = \frac{96 \text{ miles}}{2 \text{ hours}} = 48 \text{ miles per hour} \]

**Step 2: Calculate the distance traveled in 5 hours.**
Now that we know the car travels at a rate of 48 miles per hour, we can calculate how far it will travel in 5 hours by multiplying the rate by the time.
\[ \text{Distance in 5 hours} = \text{Rate} \times \text{Time} = 48 \text{ miles per hour} \times 5 \text{ hours} = 240 \text{ miles} \]

**Final Answer:**
The car will travel 240 miles in 5 hours.

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